101993728 has 36 divisors (see below), whose sum is σ = 204563520. Its totient is φ = 50753024.

The previous prime is 101993711. The next prime is 101993741. The reversal of 101993728 is 827399101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60351 + ... + 62017.

It is an arithmetic number, because the mean of its divisors is an integer number (5682320).

Almost surely, 2^101993728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101993728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102281760).

101993728 is an abundant number, since it is smaller than the sum of its proper divisors (102569792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101993728 is an equidigital number, since it uses as much as digits as its factorization.

101993728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 101993728 is about 10099.1944233191. The cubic root of 101993728 is about 467.2232958922.

The spelling of 101993728 in words is "one hundred one million, nine hundred ninety-three thousand, seven hundred twenty-eight".